%I #7 Jun 22 2022 12:02:19
%S 8,64,316,1404,6768,33893,167473,818962,4010648,19690604,96675456,
%T 474386856,2327622672,11421964786,56051074387,275054292017,
%U 1349734580410,6623378938847,32502145147429,159493994166901,782665804236299
%N Number of 3 X n binary arrays without the pattern 0 1 0 antidiagonally or horizontally.
%C Row 3 of A189064.
%H R. H. Hardin, <a href="/A189065/b189065.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n) = 4*a(n-1) -6*a(n-2) +33*a(n-3) +51*a(n-4) +108*a(n-5) +325*a(n-6) +320*a(n-7) +280*a(n-8) +264*a(n-9) -424*a(n-10) -882*a(n-11) -362*a(n-12) +68*a(n-13) +97*a(n-14) +92*a(n-15) +38*a(n-16) -a(n-17) -a(n-18) -2*a(n-19) -a(n-20).
%e Some solutions for 3 X 3
%e ..1..0..1....1..1..0....1..0..1....1..1..1....1..1..0....0..1..1....1..1..1
%e ..0..0..0....1..1..0....0..0..0....1..1..1....1..0..1....1..1..0....0..1..1
%e ..0..0..0....1..1..0....1..0..1....1..1..1....1..0..0....0..0..1....1..0..0
%Y Cf. A189064.
%K nonn
%O 1,1
%A _R. H. Hardin_, Apr 16 2011